Home Maths Conic Sections Karnataka - CET Previous Year Question The equation of the parabola with vertex at …
Maths Conic Sections Karnataka - CET Previous Year Question Single Correct MCQ
Published on: August 13, 2026

The equation of the parabola with vertex at and focus is

A
B
C
D

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The correct answer is:
A

: Let be the vertex and the focus. Let the axis meets the directrix at .

Let the coordinates of be . Since is the


mid point of , we have

and

and .

Coordinates of are .

Slope of is a horizontal line.

The directrix is a vertical line and it passes through . The equation of directrix is . i.e., .

Let be a general point on the parabola.

By definition,

.

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